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What is the Least Common Multiple of 28409 and 28419?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 28409 and 28419 is 807355371.

LCM(28409,28419) = 807355371

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Least Common Multiple of 28409 and 28419 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 28409 and 28419, than apply into the LCM equation.

GCF(28409,28419) = 1
LCM(28409,28419) = ( 28409 × 28419) / 1
LCM(28409,28419) = 807355371 / 1
LCM(28409,28419) = 807355371

Least Common Multiple (LCM) of 28409 and 28419 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 28409 and 28419. First we will calculate the prime factors of 28409 and 28419.

Prime Factorization of 28409

Prime factors of 28409 are 28409. Prime factorization of 28409 in exponential form is:

28409 = 284091

Prime Factorization of 28419

Prime factors of 28419 are 3, 9473. Prime factorization of 28419 in exponential form is:

28419 = 31 × 94731

Now multiplying the highest exponent prime factors to calculate the LCM of 28409 and 28419.

LCM(28409,28419) = 284091 × 31 × 94731
LCM(28409,28419) = 807355371